In: Statistics and Probability
For each of the scales shown below (A, B, and C), answer the following questions:
What type of data is being collected? What level of scale measurement is being used? What is the most appropriate measure of central tendency? What is the most appropriate measure of dispersion? What weakness, if any, exists with the scale?
A. How do you pay for your travel expenses?
Cash , Company , charge , Check , Personal charge , Credit card , Other
B. How often do you travel for business purposes?
0–1 time per month, 2–3 times per month, 4–5 times per month, 6 or more times per month
C. Check the one category that best approximates your total family annual income, before taxes. (Check only one category.)
Under $10,000, $10,000–$20,000, $20,001–$30,000, $40,001–$50,000, $50,001–$60,000, $60,001–$70,000, $70,001–$100,000, Over $100,000
A | B | C | |
Type of data being collected | Primary | Primary | Primary |
Level of scale measurement being used | Nominal Scale | Ordinal Scale | Interval/Ratio |
Most appropriate measure of Central Tendency | Mode | Median | Mean |
Most appropriate measure of Dispersion | Index of dispersion | Interquartile range | Standard deviation |
Weakness (if any) existing with scale | The degrees of response can't be expressed | The level of differences between ranks not clear |